IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i24p3270-d704101.html
   My bibliography  Save this article

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

Author

Listed:
  • Elsayed M. E. Zayed

    (Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, Egypt
    These authors contributed equally to this work.)

  • Khaled A. Gepreel

    (Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, Egypt
    Mathematics Department, Faculty of Sciences, Taif University, Taif 21944, Saudi Arabia
    These authors contributed equally to this work.)

  • Mahmoud El-Horbaty

    (Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, Egypt
    These authors contributed equally to this work.)

  • Anjan Biswas

    (Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia
    Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania
    Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa 0204, South Africa)

  • Yakup Yıldırım

    (Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus
    These authors contributed equally to this work.)

  • Hashim M. Alshehri

    (Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

This paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool. Thus, bright and singular soliton solutions emerge from the scheme that are exhibited with their respective parameter constraints.

Suggested Citation

  • Elsayed M. E. Zayed & Khaled A. Gepreel & Mahmoud El-Horbaty & Anjan Biswas & Yakup Yıldırım & Hashim M. Alshehri, 2021. "Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms," Mathematics, MDPI, vol. 9(24), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3270-:d:704101
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/24/3270/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/24/3270/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kudryashov, Nikolay A., 2020. "Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Kudryashov, Nikolay A., 2020. "Highly dispersive optical solitons of equation with various polynomial nonlinearity law," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ahmed H. Arnous & Luminita Moraru, 2022. "Optical Solitons with the Complex Ginzburg–Landau Equation with Kudryashov’s Law of Refractive Index," Mathematics, MDPI, vol. 10(19), pages 1-13, September.
    2. Nikolay A. Kudryashov, 2022. "Optical Solitons of the Generalized Nonlinear Schrödinger Equation with Kerr Nonlinearity and Dispersion of Unrestricted Order," Mathematics, MDPI, vol. 10(18), pages 1-9, September.
    3. Anjan Biswas & Trevor Berkemeyer & Salam Khan & Luminita Moraru & Yakup Yıldırım & Hashim M. Alshehri, 2022. "Highly Dispersive Optical Soliton Perturbation, with Maximum Intensity, for the Complex Ginzburg–Landau Equation by Semi-Inverse Variation," Mathematics, MDPI, vol. 10(6), pages 1-11, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Oswaldo González-Gaxiola & Anjan Biswas & Yakup Yıldırım & Luminita Moraru, 2022. "Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition," Mathematics, MDPI, vol. 10(9), pages 1-12, May.
    2. Nikolay A. Kudryashov, 2022. "Optical Solitons of the Generalized Nonlinear Schrödinger Equation with Kerr Nonlinearity and Dispersion of Unrestricted Order," Mathematics, MDPI, vol. 10(18), pages 1-9, September.
    3. Kudryashov, Nikolay A., 2020. "Optical solitons of model with integrable equation for wave packet envelope," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Kudryashov, Nikolay A. & Nifontov, Daniil R., 2023. "Conservation laws and Hamiltonians of the mathematical model with unrestricted dispersion and polynomial nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    5. Kumar, Vikas & Biswas, Anjan & Ekici, Mehmet & Moraru, Luminita & Alzahrani, Abdullah Khamis & Belic, Milivoj R., 2021. "Time–dependent coupled complex short pulse equation: Invariant analysis and complexitons," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Islam Samir & Ahmed H. Arnous & Yakup Yıldırım & Anjan Biswas & Luminita Moraru & Simona Moldovanu, 2022. "Optical Solitons with Cubic-Quintic-Septic-Nonic Nonlinearities and Quadrupled Power-Law Nonlinearity: An Observation," Mathematics, MDPI, vol. 10(21), pages 1-9, November.
    7. Rami Ahmad El-Nabulsi & Waranont Anukool, 2023. "A generalized nonlinear cubic-quartic Schrodinger equation and its implications in quantum wire," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(5), pages 1-8, May.
    8. Anjan Biswas & Jose Vega-Guzman & Yakup Yıldırım & Luminita Moraru & Catalina Iticescu & Abdulah A. Alghamdi, 2023. "Optical Solitons for the Concatenation Model with Differential Group Delay: Undetermined Coefficients," Mathematics, MDPI, vol. 11(9), pages 1-14, April.
    9. El-Ganaini, Shoukry & Kumar, Sachin, 2023. "Symbolic computation to construct new soliton solutions and dynamical behaviors of various wave structures for two different extended and generalized nonlinear Schrödinger equations using the new impr," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 28-56.
    10. Kudryashov, Nikolay A., 2020. "Highly dispersive optical solitons of equation with various polynomial nonlinearity law," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    11. Xu, Guoan & Zhang, Yi & Li, Jibin, 2022. "Exact solitary wave and periodic-peakon solutions of the complex Ginzburg–Landau equation: Dynamical system approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 157-167.
    12. Ekici, Mehmet & Sonmezoglu, Abdullah & Biswas, Anjan, 2021. "Stationary optical solitons with Kudryashov’s laws of refractive index," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    13. Sucu, Nuray & Ekici, Mehmet & Biswas, Anjan, 2021. "Stationary optical solitons with nonlinear chromatic dispersion and generalized temporal evolution by extended trial function approach," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    14. Muslum Ozisik & Aydin Secer & Mustafa Bayram & Anjan Biswas & Oswaldo González-Gaxiola & Luminita Moraru & Simona Moldovanu & Catalina Iticescu & Dorin Bibicu & Abdulah A. Alghamdi, 2023. "Retrieval of Optical Solitons with Anti-Cubic Nonlinearity," Mathematics, MDPI, vol. 11(5), pages 1-18, March.
    15. Boutabba, Nadia & Rasheed, Zoya & Ali, Hazrat, 2023. "Light drag in a left-handed atomic medium via Cross Kerr-like nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    16. Nikolay A. Kudryashov, 2021. "Implicit Solitary Waves for One of the Generalized Nonlinear Schrödinger Equations," Mathematics, MDPI, vol. 9(23), pages 1-9, November.
    17. Kudryashov, Nikolay A., 2020. "First integrals and general solution of the complex Ginzburg-Landau equation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    18. El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2023. "A family of nonlinear Schrodinger equations and their solitons solutions," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    19. Ekici, Mehmet, 2022. "Kinky breathers, W-shaped and multi-peak soliton interactions for Kudryashov's quintuple power-law coupled with dual form of non-local refractive index structure," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3270-:d:704101. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.